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Lesechka [4]
3 years ago
13

Geomertric sequence- A bank account earns a constant rate of interest each month. The account was opened on March 1 aith $18,000

in it. On April 1, the balance in the account was $18045.
write explicit rule that can be used to find A(n), the balance after n months.

find the balance after 5 months.


find the balance after 5 years.
Mathematics
1 answer:
kifflom [539]3 years ago
8 0
A₀ = 18 000(1 + 0.0025)⁰
A₁ = 18 000(1 + 0.0025)¹
A₂ = 18 000(1 + 0.0025)²
A(n) = 18 000(1 + 0.0025)ⁿ

So, after 5 months, A(n) = 18 000(1 + 0.0025)⁵ = $18 226.1278 ≈ 18 226.13

5 years is 60 months.

A₆₀ = 18 000(1 + 0.0025)⁶⁰ = $20 909.1021  ≈ $20 909.10
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Suppose a researcher is testing a new vaccine on mice to see how well it prevents the flu virus. The lab has 1000 mice available
AfilCa [17]

Solution :

Sampling may be defined as the technique of selecting the individual members or the subset of the population to make a statistical inferences and estimates the characteristics of the entire population.

There are several sampling methods. This includes : Systematic sampling, clustered sampling, stratified sampling, quota sampling, judgement sampling, random sampling, convenience sampling and many more.

In the context, the sampling methods for each of the descriptions are :

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   --- Simple Random

b). The researcher chose the 1st 30 mice as she can reach the door to the mouse room

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c). The mice those whose are kept in the cages on 10 various shelves in mouse room. The researcher or the experimenter chose the three mice from each shelve.

  ---- Stratified sampling

d). Each of the cage have 5 mice and the researcher randomly chooses 6 cages for her study

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e). The researcher generates the list of the identification numbers which has been sorted from the smallest to the largest. The researcher randomly picks 1 mouse form the list and selects every 4 mouse until the researcher has 30 mice.

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7 0
3 years ago
English
Alborosie

Answer:

1/4,0.5, and 3/8 on edg

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please explain how to do this.
damaskus [11]

Step-by-step explanation:

let the eqn be y = mx + b.

m = 200/(900 - 700) = 1

sub (700, 0):

0 = 700 + b

b = -700

therefore eqn is y = x - 700

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

5 0
3 years ago
A large container holds 14 litres of a solution which is 25% antifreeze, the remainder being water. How many litres of antifreez
frutty [35]

Answer:

2.8 liters

Step-by-step explanation:

So there are various ways to do this problem, this is just MY preferred way.

Since we are given 1/4th of a total value with 14 liters, we can actually make this 4/4 by multiplying our given value by 4. In this case, 14 liters for 25% becomes 56 liters for 100% antifreeze.

Since we know have a percent of 100%, we can proceed to take 10% increments, all the way up to 30%

10% is 5.6, multiplied by 3 is 16.8

While you might want to put 16.8 instantly, don't forget we are looking for how much is ADDED from 25%, not just how much there is.

In this case, subtract 14 from 16.8 to come out with a grand total of 2.8 liters added.

5 0
2 years ago
The chef at a school cafeteria asked 100 male and 100 female students
Fantom [35]

Answer:

A

Step-by-step explanation:

The best way to do is this by cancellation.  Cancel out the answers that are incorrect.

D is incorrect.  There are 100 male students and 100 female students.  This table shows that there 94 male students and 106 female students.

C and B are both incorrect because they say that there are 42 male students that dislike peas.  Really, there are 42 male students that like peas.

This leaves you with letter A.  The table matches the data given, so this is the answer.

3 0
4 years ago
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